Hybridized optimization algorithms for design of trusses with multiple natural frequency constraints

In this paper, two optimization algorithms are applied for finding the optimal mass of truss structures with natural frequency constraints. The Particle Swarm Optimization with an Aging Leader and Challengers (ALC-PSO) algorithm is the first technique which applies the aging mechanism to particle swarm optimization (PSO) algorithm. The second method is HALC-PSO that transplants harmony search-based mechanism to ALC-PSO as a variable constraint handling approach. In these methods, the leader of the swarm ages and has a limited lifespan which is adaptively tuned according to the leader's leading power. If a leader shows a strong ability to lead the swarm toward better positions, its lifespan is increased, otherwise the leader gets aged quickly and when its lifespan is exhausted, a new particle emerges to challenge and claim the leadership. Therefore, premature convergence can be prevented in these methods. Five well-known truss mass optimization examples on Layout and size with frequency constraints are presented to demonstrate the viability of the algorithms. This type of problem is highly non-linear and non-convex dynamic optimization problems since mass reduction conflicts with the frequency constraints, especially when they are lower bounded. Numerical results show the robustness and high performance of the ALC-PSO and HALC-PSO algorithms for structural optimization problems with frequency constraints. It is found that the best results are obtained using HALC-PSO algorithm in most of the cases.

[1]  Ramana V. Grandhi,et al.  Structural optimization with frequency constraints , 1988 .

[2]  Ramana V. Grandhi,et al.  Structural optimization with frequency constraints - A review , 1992 .

[3]  A. Kaveh,et al.  A novel heuristic optimization method: charged system search , 2010 .

[4]  Meng Guang,et al.  Truss optimization on shape and sizing with frequency constraints based on genetic algorithm , 2005 .

[5]  Ali Kaveh,et al.  Truss optimization with natural frequency constraints using a hybridized CSS-BBBC algorithm with trap recognition capability , 2012 .

[6]  Siamak Talatahari,et al.  Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures , 2009 .

[7]  O. Hasançebi,et al.  Upper bound strategy for metaheuristic based design optimization of steel frames , 2013, Adv. Eng. Softw..

[8]  Mustafa Sonmez,et al.  Discrete optimum design of truss structures using artificial bee colony algorithm , 2011 .

[9]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[10]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[11]  Mehmet Polat Saka,et al.  Optimum design of unbraced steel frames to LRFD-AISC using particle swarm optimization , 2012, Adv. Eng. Softw..

[12]  Herbert Martins Gomes,et al.  Truss optimization with dynamic constraints using a particle swarm algorithm , 2011, Expert Syst. Appl..

[13]  Ying Lin,et al.  Particle Swarm Optimization With an Aging Leader and Challengers , 2013, IEEE Transactions on Evolutionary Computation.

[14]  Siamak Talatahari,et al.  Optimum design of skeletal structures using imperialist competitive algorithm , 2010 .

[15]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[16]  Ramin Sedaghati,et al.  Benchmark case studies in structural design optimization using the force method , 2005 .

[17]  O. Hasançebi,et al.  Adaptive evolution strategies in structural optimization: Enhancing their computational performance with applications to large-scale structures , 2008 .

[18]  Ali Kaveh,et al.  Advances in Metaheuristic Algorithms for Optimal Design of Structures , 2014 .

[19]  T. Y. Yang,et al.  Minimum-mass truss structures with constraints on fundamental natural frequency , 1981 .

[20]  Leandro Fleck Fadel Miguel,et al.  Shape and size optimization of truss structures considering dynamic constraints through modern metaheuristic algorithms , 2012, Expert Syst. Appl..

[21]  Ali Kaveh,et al.  SHAPE AND SIZE OPTIMIZATION OF TRUSS STRUCTURES WITH FREQUENCY CONSTRAINTS USING ENHANCED CHARGED SYSTEM SEARCH ALGORITHM , 2011 .